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Simplifying 0.50x + 0.25(30) = 37.5 Multiply 0.25 * 30 0.50x + 7.5 = 37.5 Reorder the terms: 7.5 + 0.50x = 37.5 Solving 7.5 + 0.50x = 37.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + 0.50x = 37.5 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 0.50x = 37.5 + -7.5 0.50x = 37.5 + -7.5 Combine like terms: 37.5 + -7.5 = 30 0.50x = 30 Divide each side by '0.50'. x = 60 Simplifying x = 60
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